Publications & Preprints
Note: An asterisk (*) indicates a corresponding author.
Full Benjamin–Feir instability of capillary–gravity Stokes waves in finite depth
Ting-Yang Hsiao*, Alberto Maspero
accepted for publication in Communications in Mathematical Physics (2026) • arXiv:2510.23456
Equivalence of synchronization states in the Kuramoto flow: a unified framework
Ting-Yang Hsiao*, Yun-Feng Lo, Chengbin Zhu
Journal of Physics: Complexity (2026) • DOI:10.1088/2632-072X/ae6be3 • arXiv:2503.19781
Synchronization in the complexified Kuramoto model
Ting-Yang Hsiao*, Yun-Feng Lo, Winnie Wang
Nonlinearity (2026) • DOI:10.1088/1361-6544/ae29d9
Non-monotone traveling waves of the weak competition Lotka–Volterra system
Chiun-Chuan Chen, Ting-Yang Hsiao, Shun-Chieh Wang
Discrete and Continuous Dynamical Systems–B (2026) • DOI:10.3934/dcdsb.2026049
Savanna dynamics with grazing, browsing, and migration effects
Chiun-Chuan Chen, Ting-Yang Hsiao*, Shun-Chieh Wang
SIAM Journal on Applied Dynamical Systems (2025) • DOI:10.1137/25M1725693
Complete and partial synchronization of two-group and three-group Kuramoto oscillators
Shih-Hsin Chen, Chun-Hsiung Hsia, Ting-Yang Hsiao
SIAM Journal on Applied Dynamical Systems (2024) • DOI:10.1137/23M1586227
Estimates of population size for traveling wave solutions of spatially non-local Lotka-Volterra competition system
Ting-Yang Hsiao*
Journal of Dynamics and Differential Equations (2022) • DOI:10.1007/s10884-021-10109-y
Discrete N-barrier maximum principle for a lattice dynamical system arising in competition models
Chiun-Chuan Chen, Ting-Yang Hsiao, Li-Chang Hung
Discrete and Continuous Dynamical Systems (2020) • DOI:10.3934/dcds.2020007
Modulational spectrum of infinite-depth hydroelastic Stokes waves
Ting-Yang Hsiao, Zirui Li, Ye Zhang, Chengbin Zhu
preprint • arXiv:2608.04938 (2026)
Spectral structure of the Benjamin–Feir instability in deep-water gravity–capillary Stokes waves
Ting-Yang Hsiao*, Xinyang Wang
preprint • arXiv:2604.16724 (2026)
Benjamin–Feir spectrum of hydroelastic Stokes waves
Ting-Yang Hsiao*, Zirui Li, Ye Zhang, Chengbin Zhu
preprint • arXiv:2606.09657 (2026)
Existence of pure capillary solitary waves in constant vorticity flows
Ting-Yang Hsiao*, Zhengjun Liang, Giang To, Ye Zhang
preprint • arXiv:2602.01431 (2026)
Propagation-window bounds in degenerate plant-consumer reaction-diffusion systems
Chiun-Chuan Chen, Ting-Yang Hsiao*, Li-Chang Hung, Haoyuan Li, Shun-Chieh Wang
preprint • arXiv:2607.25149 (2026)
Synchronization and Hopf bifurcation in Stuart–Landau networks
Kuan-Wei Chen, Ting-Yang Hsiao*
preprint • arXiv:2601.10234 (2026)
Equivalence of synchronization states in the hybrid Kuramoto flow
Ting-Yang Hsiao*, Yun-Feng Lo, Chengbin Zhu
preprint • arXiv:2512.02986 (2025)
Synchronization in the quaternionic Kuramoto model
Ting-Yang Hsiao*, Yun-Feng Lo, Winnie Wang
preprint • arXiv:2309.01893 (2023)